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Multivariate polynomial interpolation on lower sets

  • Autores: Nira Dyn, Michael S. Floater
  • Localización: Journal of approximation theory, ISSN 0021-9045, Vol. 177, Nº 1, 2014, págs. 34-42
  • Idioma: inglés
  • DOI: 10.1016/j.jat.2013.09.008
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  • Resumen
    • In this paper we study multivariate polynomial interpolation on lower sets of points. A lower set can be expressed as the union of blocks of points. We show that a natural interpolant on a lower set can be expressed as a linear combination of tensor-product interpolants over various intersections of the blocks that define it.


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